Question

The lines represented by the equations 12y + 9x = -36 and y + 3/4x = -3 are:

a) Parallel

b) Perpendicular

c) Coincident

d) Neither parallel nor perpendicular

Answer 1

The lines represented by the equations 12y + 9x = -36 and y + 3/4x = -3 are neither parallel nor perpendicular.

Step-by-step explanation:

The equations 12y + 9x = -36 and y + 3/4x = -3 represent two lines. To determine whether the lines are parallel, perpendicular, coincident, or neither parallel nor perpendicular, we can compare their slopes. The first equation can be rewritten as y = (-1/4)x - 3, which has a slope of -1/4. The second equation can be rewritten as y = (-3/4)x - 3, which also has a slope of -3/4. Since the slopes are not equal, the lines are neither parallel nor perpendicular, so the answer is d) Neither parallel nor perpendicular.